2003/08/31 by Vladimir Yurovsky, V. A. Yurovsky · 2 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreva.71.012709
published as Phys. Rev. A 71, 012709 (2005) · Completely rewritten version,8 pages with 5 figures, uses REVTeX
arxiv created 2004/07/25 · openalex publication_date 2005/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A problem of collisions of atoms with two-channel zero-range interaction in an atomic waveguide is solved by using of a renormalization procedure. A matching of the solution to a solution of the related one-dimensional problem leads to relation between the one-dimensional and three-dimensional scattering parameters. The scattering amplitude and bound states for the confined system demonstrate differences from the related free and one-dimensional systems.